6. For the shaded area above, calculate the moment of inertia about ONLY the x-axis (L)

1. A circular disk has a density p(r) which varies as a function of distance from the center of the disk. The disk has a radius R and a thickness t. Assuming p(r) = Po(1-r/R): Calculate the total mass of the disk. a. b. Calculate the moment of inertia of the disk about an axis out of the plane of the page and passing through Point G. C. Calculate the moment of inertia of the disk about an axis out of the plane of the page and passing through Point O. G R

For the following area, determine: a) the coordinates of the geometric center of the area taking the axes shown in the figure as a reference. Consider b = 36 cm.Adopt π = 3.14159. b) the moments of inertia about the axes that pass through the geometric center of the area. (IxCG = IyCG in cm4)

3. Determine the moment of inertia with respect to the x-x and y-y centroidal axes for the following figure: Objects are Cen tured E3.5" 2"